Almost sure stability of a class of stochastic switched impulsive systems

In the paper, the almost sure stability of a class of stochastic switched impulsive systems is discussed. Two independent Poisson processes are introduced to model the occurrences of mode switchings and state jumps. By the multiple Lyapunov functions approach as well as stochastic processes theory, sufficient conditions for almost sure stability of nonlinear stochastic switched impulsive systems are derived. Furthermore, a numerical example is provided to demonstrate the efficacy of our results.